What is your favorite restaurant in Pune?

I'm pretty sure you might have already done lot of R&D about Pune. So I would prefer mentioning few first hand experience that I've been to. I'm born and brought up here and have been to every single corner of the city may it be NEWS by all means of transport say bicycle, bike, bus, auto & car etc. 
As you prefer outdoors, art & museums. I would recommend you visiting Shaniwar Wada Fort Raja Dinkar Kelkar Museum Sinhagad Fort as well as there are many other places which should not be missed such as

a)Aga Khan Palace

b)Pataleshwar Caves

c)Rajgad Fort

d)Savitribai Phule Pune University

e)Lavasa International Convention Centre

f)Panshet Dam

g)Mulshi Dam

h)Chokhi Dhani [ if you also want to have the glimpse of Rajasthani culture here in Pune :-) ]

I guess this is enough for a week's time as you might also have your own plans to cover.

Take care and have a great time - I welcome you to the city of dreams.

:-)

Minus 18 degrees, Malaka Spice and The Great Punjab

Don't know the names of the restaurants only location by site...Never thought someone would ask, lol.  There is an alley that has amazing ckicken lolli-pop. PPL in koregon park would know... the westin hotel has great buffet, clean ect. and only like 15 bucks for everything from sushi to tikka masala

The Flying Saucer - Skybar

Dario's

Minus 18 degrees

Le Plaisir Patisserie Bistro" is must

1. Le Plaisir Patisserie Bistro on prabhat road
   
2. Hotel Vaishali on fergusson college road 
3. Terttulia on Koregaon Park
4. The Bombay Bronx on Dhole Patil Road
5. Malaka Spice on Koregaon Park

Malaka Spice

Hotel Radha

Shabree Restaurant on Fergusson College Road for great Gujarati Food...

Vaishali Hotel on FC Road to try out their famous SPDP dish